Answer:
The minimum time taken is 3.84 s.
Explanation:
The expression for the equation of motion is as follows;
v= u+at
Here, v is the final speed, u is the initial speed, a is the acceleration and t is the time.
Convert the initial speed from
to
.
![u=(\frac{141 km}{1 h})(\frac{1000 m}{1 km})(\frac{1 h}{3600 s})](https://tex.z-dn.net/?f=u%3D%28%5Cfrac%7B141%20km%7D%7B1%20h%7D%29%28%5Cfrac%7B1000%20m%7D%7B1%20km%7D%29%28%5Cfrac%7B1%20h%7D%7B3600%20s%7D%29)
![u= 39.17m s^{-1}](https://tex.z-dn.net/?f=u%3D%2039.17m%20s%5E%7B-1%7D)
Convert the final speed from
to
.
![v=(\frac{76 km}{1 h})(\frac{1000 m}{1 km})(\frac{1 h}{3600 s})](https://tex.z-dn.net/?f=v%3D%28%5Cfrac%7B76%20km%7D%7B1%20h%7D%29%28%5Cfrac%7B1000%20m%7D%7B1%20km%7D%29%28%5Cfrac%7B1%20h%7D%7B3600%20s%7D%29)
![v= 21.11m s^{-1}](https://tex.z-dn.net/?f=v%3D%2021.11m%20s%5E%7B-1%7D)
It is given in the problem that The brakes on your automobile are capable of creating a deceleration of
. The sign of the acceleration is negative here as there is deceleration.
Calculate the minimum time by using equation of motion.
v= u+at
Put
,
and ![a= -4.7m s^{-2}](https://tex.z-dn.net/?f=a%3D%20-4.7m%20s%5E%7B-2%7D)
21.11= 39.17+(-4.7)t
t= 3.84 s
Therefore, the minimum time taken is 3.84 s.
The acceleration that the net force will cause is 7.5 m/s²
To solve this problem, first, we need to find the net force.
⇒ Equation:
F = ma................ Equation 1
⇒ Where:
- m = mass of the box
- a = acceleration of the box
From the question,
⇒ Given;
⇒ Substitute these values into equation 1
We also use the same equation 1 to find the acceleration that the net force will cause to a box of mass 2.8 kg.
⇒ make a the subject in equation 1
- a = F/m................. Equation 2
⇒ Substitute the appropriate values into equation 2
Hence, The acceleration that the net force will cause is 7.5 m/s²
Learn more about acceleration here: brainly.com/question/605631
Answer:
The energy of a vibrating string is transmitted through the bridge to the body of the violin, which allows the sound to radiate into the surrounding air. Both ends of a violin string are effectively stationary, allowing for the creation of standing waves.
Explanation:
If the point M(0,38) is on the circle then its radio is:
![r = \sqrt{ 0 ^2+38 ^2} = 38](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%7B%200%20%5E2%2B38%20%5E2%7D%20%20%3D%2038)
Compute the distance between the center and N:
![d = \sqrt{(-5)^2 + (-3)^2} = \sqrt{25+9} = \sqrt{34} \approx 5.83](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-5%29%5E2%20%2B%20%28-3%29%5E2%7D%20%3D%20%5Csqrt%7B25%2B9%7D%20%3D%20%5Csqrt%7B34%7D%20%5Capprox%205.83)
Because d < r then point N is INSIDE THE CIRCLE.